Independent elements and asymptotic sequences

DOI10.1016/0021-8693(82)90089-8zbMath0498.13005OpenAlexW2070124421MaRDI QIDQ1171094

Louis J. jun. Ratliff

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90089-8

zbMATH Keywords

analytic spreadNoetherian ringintegral closureRees ringasymptotic sequenceA-sequenceanalytically independent elements

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (8)

Maximum number of independent elements and dimension of prime divisors in completions of local rings ⋮ On the kernel of a monadic transformation ⋮ Complexes acyclic up to integral closure ⋮ On the asymptotic sequences over an ideal ⋮ Bases of ideals and Rees valuation rings ⋮ Asymptotic sequences and Rees rings ⋮ Asymptotic sequences ⋮ Monoidal extensions of a locally quasi-unmixed UFD

Cites Work

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• A note on form rings and ideals
• Asymptotic Prime Divisors and Analytic Spreads
• On the number of Elements Independent with respect to an Ideal
• Integrally closed ideals, prime sequences, and macaulay local rings
• Rings associated with ideals and analytic spread
• Generalized Analytic Independence
• Asymptotic Stability of Ass(M/I n M)
• Remarks on generalized analytic independence
• Two Notes on Locally Macaulay Rings
• On Quasi-Unmixed Semi-Local Rings and the Altitude Formula
• Note on coefficient fields of complete local rings

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